Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 47113 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[1.1229, 0.959, 0.6314, 0.7952, 1.041], q:[0.2602, 0.6169], qb:[0.7807, 0.5879], phi:[0.4386]] | [X:[[36]], M:[[12], [-4], [-36], [-20], [4]], q:[[1], [-13]], qb:[[3], [33]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ X_1$, $ q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ M_5\phi_1^2$ | . | -1 | t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.86 + t^3.95 + t^4.11 + t^4.19 + t^4.77 + t^4.84 + t^4.93 + t^5.02 + t^5.09 + t^5.18 + 2*t^5.26 + t^5.42 + 2*t^5.51 + t^5.67 + 2*t^5.75 - t^6. - t^6.09 + t^6.25 + t^6.4 + 2*t^6.49 + t^6.58 + t^6.65 + 2*t^6.74 + t^6.82 + t^7.16 + t^7.23 + t^7.39 + 2*t^7.47 + t^7.63 + 2*t^7.65 + 2*t^7.72 + t^7.81 + 3*t^7.89 + 2*t^7.97 + 2*t^8.05 + 3*t^8.14 + 2*t^8.21 + t^8.3 - 2*t^8.54 - t^8.63 + t^8.7 - t^8.72 - 2*t^8.88 + 2*t^8.95 - t^4.32/y - t^6.7/y + (2*t^7.93)/y + t^8.02/y + t^8.18/y + t^8.26/y + t^8.42/y + (2*t^8.51)/y + t^8.67/y + (2*t^8.75)/y + t^8.91/y - t^4.32*y - t^6.7*y + 2*t^7.93*y + t^8.02*y + t^8.18*y + t^8.26*y + t^8.42*y + 2*t^8.51*y + t^8.67*y + 2*t^8.75*y + t^8.91*y | t^2.39/g1^20 + g1^34*t^2.54 + t^2.63/g1^12 + t^2.88/g1^4 + g1^4*t^3.12 + g1^12*t^3.37 + g1^28*t^3.86 + t^3.95/g1^18 + g1^36*t^4.11 + t^4.19/g1^10 + t^4.77/g1^40 + g1^60*t^4.84 + g1^14*t^4.93 + t^5.02/g1^32 + g1^68*t^5.09 + g1^22*t^5.18 + (2*t^5.26)/g1^24 + g1^30*t^5.42 + (2*t^5.51)/g1^16 + g1^38*t^5.67 + (2*t^5.75)/g1^8 - t^6. - t^6.09/g1^46 + g1^8*t^6.25 + g1^62*t^6.4 + 2*g1^16*t^6.49 + t^6.58/g1^30 + g1^70*t^6.65 + 2*g1^24*t^6.74 + t^6.82/g1^22 + t^7.16/g1^60 + g1^40*t^7.23 + g1^94*t^7.39 + 2*g1^48*t^7.47 + g1^102*t^7.63 + (2*t^7.65)/g1^44 + 2*g1^56*t^7.72 + g1^10*t^7.81 + (3*t^7.89)/g1^36 + 2*g1^64*t^7.97 + 2*g1^18*t^8.05 + (3*t^8.14)/g1^28 + 2*g1^72*t^8.21 + g1^26*t^8.3 - 2*g1^34*t^8.54 - t^8.63/g1^12 + g1^88*t^8.7 - t^8.72/g1^58 - (2*t^8.88)/g1^4 + 2*g1^96*t^8.95 - t^4.32/(g1^6*y) - t^6.7/(g1^26*y) + (2*g1^14*t^7.93)/y + t^8.02/(g1^32*y) + (g1^22*t^8.18)/y + t^8.26/(g1^24*y) + (g1^30*t^8.42)/y + (2*t^8.51)/(g1^16*y) + (g1^38*t^8.67)/y + (2*t^8.75)/(g1^8*y) + (g1^46*t^8.91)/y - (t^4.32*y)/g1^6 - (t^6.7*y)/g1^26 + 2*g1^14*t^7.93*y + (t^8.02*y)/g1^32 + g1^22*t^8.18*y + (t^8.26*y)/g1^24 + g1^30*t^8.42*y + (2*t^8.51*y)/g1^16 + g1^38*t^8.67*y + (2*t^8.75*y)/g1^8 + g1^46*t^8.91*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 55588 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ M_2M_6$ | 0.5974 | 0.7373 | 0.8102 | [X:[1.3618], M:[1.1206, 0.9598, 0.6382, 0.799, 1.0402, 1.0402], q:[0.2601, 0.6193], qb:[0.7802, 0.5817], phi:[0.4397]] | t^2.4 + t^2.53 + t^2.64 + 2*t^3.12 + t^3.36 + t^3.84 + t^3.96 + t^4.09 + t^4.2 + t^4.79 + t^4.81 + t^4.92 + t^5.04 + t^5.05 + t^5.16 + t^5.28 + 2*t^5.52 + 2*t^5.65 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 55556 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ M_4M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[1.1153, 0.9616, 0.6541, 0.8078, 1.0384, 1.1922], q:[0.2596, 0.6251], qb:[0.7788, 0.5671], phi:[0.4423]] | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 55630 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ M_5M_6$ | 0.605 | 0.7495 | 0.8072 | [X:[1.3754], M:[1.1251, 0.9583, 0.6246, 0.7914, 1.0417, 0.9583], q:[0.2604, 0.6144], qb:[0.7813, 0.5942], phi:[0.4374]] | t^2.37 + t^2.56 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.88 + t^3.94 + t^4.13 + t^4.19 + t^4.75 + t^4.88 + t^4.94 + t^5. + t^5.13 + t^5.19 + 3*t^5.25 + 2*t^5.44 + 2*t^5.5 + 3*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 55824 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ M_6\phi_1q_1q_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[1.1219, 0.9594, 0.6343, 0.7968, 1.0406, 0.6828], q:[0.2602, 0.618], qb:[0.7805, 0.5852], phi:[0.4391]] | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 55648 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ M_6\phi_1q_1\tilde{q}_2$ | 0.6215 | 0.7817 | 0.7951 | [X:[1.3792], M:[1.1264, 0.9579, 0.6208, 0.7893, 1.0421, 0.7051], q:[0.2605, 0.6131], qb:[0.7816, 0.5976], phi:[0.4368]] | t^2.12 + t^2.37 + t^2.57 + t^2.62 + t^2.87 + t^3.13 + t^3.38 + t^3.93 + t^4.14 + t^4.18 + t^4.23 + t^4.48 + t^4.69 + 2*t^4.74 + t^4.9 + t^4.94 + 2*t^4.99 + t^5.15 + t^5.2 + 3*t^5.24 + t^5.45 + 3*t^5.49 + t^5.7 + 2*t^5.75 - t^6. - t^4.31/y - t^4.31*y | detail | |
| 55434 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ \phi_1^2q_1\tilde{q}_2$ + $ M_4X_2$ | 0.4659 | 0.5625 | 0.8283 | [X:[1.8182, 1.4545], M:[1.2727, 0.9091, 0.1818, 0.5455, 1.0909], q:[0.2727, 0.4545], qb:[0.8182, 1.0], phi:[0.3636]] | t^2.18 + t^2.73 + 2*t^3.27 + 3*t^3.82 + t^4.36 + t^4.91 + t^5.45 + 2*t^6. - t^4.09/y - t^4.09*y | detail | {a: 9921/21296, c: 5989/10648, X1: 20/11, X2: 16/11, M1: 14/11, M2: 10/11, M3: 2/11, M4: 6/11, M5: 12/11, q1: 3/11, q2: 5/11, qb1: 9/11, qb2: 1, phi1: 4/11} |
| 55519 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_3X_1$ + $ q_1^2\tilde{q}_2^2$ | 0.5832 | 0.7192 | 0.8109 | [X:[1.5294], M:[1.1765, 0.9412, 0.4706, 0.7059, 1.0588], q:[0.2647, 0.5588], qb:[0.7941, 0.7353], phi:[0.4118]] | t^2.12 + t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^3.71 + t^4.06 + 2*t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.12 + 2*t^5.29 + 3*t^5.65 + t^5.82 - t^4.24/y - t^4.24*y | detail | {a: 45843/78608, c: 7067/9826, X1: 26/17, M1: 20/17, M2: 16/17, M3: 8/17, M4: 12/17, M5: 18/17, q1: 9/34, q2: 19/34, qb1: 27/34, qb2: 25/34, phi1: 7/17} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 46504 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_5\phi_1q_1^2$ | 0.7088 | 0.8952 | 0.7917 | [X:[], M:[1.1055, 0.7845, 0.6835, 1.0045, 0.6745], q:[0.4391, 0.4554], qb:[0.7764, 0.5401], phi:[0.4473]] | t^2.02 + t^2.05 + t^2.35 + t^2.68 + t^2.94 + t^3.01 + t^3.32 + t^3.7 + t^4.03 + t^4.05 + 2*t^4.07 + t^4.1 + t^4.28 + t^4.33 + t^4.38 + t^4.4 + t^4.58 + 2*t^4.71 + t^4.73 + t^4.96 + t^4.99 + 2*t^5.04 + t^5.06 + t^5.29 + t^5.34 + 3*t^5.37 + t^5.62 + t^5.67 + t^5.72 + t^5.88 - 2*t^6. - t^4.34/y - t^4.34*y | detail |